The continuous-time lace expansion and it’s applications

Seminar | May 3 | 3:10-4 p.m. | 1011 Evans Hall

 Tyler Helmuth, U.C. Berkeley Mathematics

 Department of Statistics

The lace expansion is one of the primary tools for proving that probability models in high dimensions have mean field behaviour. I will explain the previous sentence by describing joint work in progress with David Brydges and Mark Holmes in which we develop a continuous time lace expansion. Our method allows us to analyze n-component field theories when n is zero, one, or two. The case n=2 is new.